Properties

Label 230.2.j.a.9.3
Level $230$
Weight $2$
Character 230.9
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.3
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 - 0.959493i) q^{2} +(-0.0697998 + 0.0604819i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.948149 + 2.02510i) q^{5} +(0.0776969 + 0.0499327i) q^{6} +(1.04108 + 0.475445i) q^{7} +(0.755750 + 0.654861i) q^{8} +(-0.425731 + 2.96102i) q^{9} +O(q^{10})\) \(q+(-0.281733 - 0.959493i) q^{2} +(-0.0697998 + 0.0604819i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.948149 + 2.02510i) q^{5} +(0.0776969 + 0.0499327i) q^{6} +(1.04108 + 0.475445i) q^{7} +(0.755750 + 0.654861i) q^{8} +(-0.425731 + 2.96102i) q^{9} +(2.21019 + 0.339207i) q^{10} +(3.69609 + 1.08527i) q^{11} +(0.0260204 - 0.0886173i) q^{12} +(1.25102 - 0.571322i) q^{13} +(0.162880 - 1.13286i) q^{14} +(-0.0563010 - 0.198697i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-0.463067 + 0.720547i) q^{17} +(2.96102 - 0.425731i) q^{18} +(-0.778520 + 0.500325i) q^{19} +(-0.297216 - 2.21623i) q^{20} +(-0.101423 + 0.0297805i) q^{21} -3.85213i q^{22} +(0.229075 + 4.79036i) q^{23} -0.0923584 q^{24} +(-3.20203 - 3.84018i) q^{25} +(-0.900632 - 1.03939i) q^{26} +(-0.299170 - 0.465518i) q^{27} +(-1.13286 + 0.162880i) q^{28} +(0.00469088 + 0.00301465i) q^{29} +(-0.174787 + 0.110000i) q^{30} +(4.36818 - 5.04115i) q^{31} +(-0.989821 - 0.142315i) q^{32} +(-0.323626 + 0.147795i) q^{33} +(0.821820 + 0.241308i) q^{34} +(-1.94992 + 1.65749i) q^{35} +(-1.24270 - 2.72114i) q^{36} +(1.06862 + 0.153645i) q^{37} +(0.699392 + 0.606027i) q^{38} +(-0.0527664 + 0.115542i) q^{39} +(-2.04272 + 0.909560i) q^{40} +(-0.702947 - 4.88910i) q^{41} +(0.0571483 + 0.0889245i) q^{42} +(-5.24726 + 4.54678i) q^{43} +(-3.69609 + 1.08527i) q^{44} +(-5.59270 - 3.66963i) q^{45} +(4.53178 - 1.56940i) q^{46} +7.27641i q^{47} +(0.0260204 + 0.0886173i) q^{48} +(-3.72623 - 4.30030i) q^{49} +(-2.78251 + 4.15423i) q^{50} +(-0.0112580 - 0.0783012i) q^{51} +(-0.743545 + 1.15698i) q^{52} +(0.417802 + 0.190804i) q^{53} +(-0.362376 + 0.418204i) q^{54} +(-5.70223 + 6.45595i) q^{55} +(0.475445 + 1.04108i) q^{56} +(0.0240800 - 0.0820090i) q^{57} +(0.00157096 - 0.00535019i) q^{58} +(0.895090 + 1.95997i) q^{59} +(0.154787 + 0.136716i) q^{60} +(6.33405 - 7.30988i) q^{61} +(-6.06760 - 2.77098i) q^{62} +(-1.85102 + 2.88025i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-0.0291719 + 3.07513i) q^{65} +(0.232984 + 0.268878i) q^{66} +(-2.18008 - 7.42468i) q^{67} -0.856515i q^{68} +(-0.305719 - 0.320511i) q^{69} +(2.13971 + 1.40396i) q^{70} +(3.45459 - 1.01436i) q^{71} +(-2.26080 + 1.95900i) q^{72} +(-7.64561 - 11.8968i) q^{73} +(-0.153645 - 1.06862i) q^{74} +(0.455763 + 0.0743796i) q^{75} +(0.384437 - 0.841800i) q^{76} +(3.33194 + 2.88714i) q^{77} +(0.125728 + 0.0180770i) q^{78} +(-0.879284 - 1.92536i) q^{79} +(1.44822 + 1.70372i) q^{80} +(-8.56185 - 2.51398i) q^{81} +(-4.49301 + 2.05189i) q^{82} +(10.1835 + 1.46416i) q^{83} +(0.0692219 - 0.0798863i) q^{84} +(-1.02012 - 1.62094i) q^{85} +(5.84093 + 3.75374i) q^{86} +(-0.000509755 + 7.32916e-5i) q^{87} +(2.08262 + 3.24062i) q^{88} +(-4.67545 - 5.39575i) q^{89} +(-1.94534 + 6.40001i) q^{90} +1.57404 q^{91} +(-2.78257 - 3.90606i) q^{92} +0.616067i q^{93} +(6.98167 - 2.05000i) q^{94} +(-0.275052 - 2.05096i) q^{95} +(0.0776969 - 0.0499327i) q^{96} +(19.0564 - 2.73989i) q^{97} +(-3.07630 + 4.78682i) q^{98} +(-4.78705 + 10.4822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281733 0.959493i −0.199215 0.678464i
\(3\) −0.0697998 + 0.0604819i −0.0402990 + 0.0349192i −0.674777 0.738021i \(-0.735760\pi\)
0.634478 + 0.772941i \(0.281215\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −0.948149 + 2.02510i −0.424025 + 0.905650i
\(6\) 0.0776969 + 0.0499327i 0.0317196 + 0.0203850i
\(7\) 1.04108 + 0.475445i 0.393491 + 0.179701i 0.602327 0.798249i \(-0.294240\pi\)
−0.208836 + 0.977951i \(0.566968\pi\)
\(8\) 0.755750 + 0.654861i 0.267198 + 0.231528i
\(9\) −0.425731 + 2.96102i −0.141910 + 0.987007i
\(10\) 2.21019 + 0.339207i 0.698923 + 0.107267i
\(11\) 3.69609 + 1.08527i 1.11441 + 0.327222i 0.786564 0.617508i \(-0.211858\pi\)
0.327850 + 0.944730i \(0.393676\pi\)
\(12\) 0.0260204 0.0886173i 0.00751144 0.0255816i
\(13\) 1.25102 0.571322i 0.346971 0.158456i −0.234305 0.972163i \(-0.575281\pi\)
0.581275 + 0.813707i \(0.302554\pi\)
\(14\) 0.162880 1.13286i 0.0435315 0.302769i
\(15\) −0.0563010 0.198697i −0.0145369 0.0513034i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −0.463067 + 0.720547i −0.112310 + 0.174758i −0.892858 0.450337i \(-0.851304\pi\)
0.780548 + 0.625096i \(0.214940\pi\)
\(18\) 2.96102 0.425731i 0.697919 0.100346i
\(19\) −0.778520 + 0.500325i −0.178605 + 0.114782i −0.626888 0.779109i \(-0.715672\pi\)
0.448284 + 0.893891i \(0.352035\pi\)
\(20\) −0.297216 2.21623i −0.0664595 0.495563i
\(21\) −0.101423 + 0.0297805i −0.0221323 + 0.00649863i
\(22\) 3.85213i 0.821277i
\(23\) 0.229075 + 4.79036i 0.0477655 + 0.998859i
\(24\) −0.0923584 −0.0188526
\(25\) −3.20203 3.84018i −0.640406 0.768037i
\(26\) −0.900632 1.03939i −0.176629 0.203840i
\(27\) −0.299170 0.465518i −0.0575754 0.0895890i
\(28\) −1.13286 + 0.162880i −0.214090 + 0.0307815i
\(29\) 0.00469088 + 0.00301465i 0.000871075 + 0.000559806i 0.541076 0.840974i \(-0.318017\pi\)
−0.540205 + 0.841533i \(0.681653\pi\)
\(30\) −0.174787 + 0.110000i −0.0319116 + 0.0200831i
\(31\) 4.36818 5.04115i 0.784548 0.905416i −0.212881 0.977078i \(-0.568285\pi\)
0.997429 + 0.0716617i \(0.0228302\pi\)
\(32\) −0.989821 0.142315i −0.174977 0.0251579i
\(33\) −0.323626 + 0.147795i −0.0563361 + 0.0257278i
\(34\) 0.821820 + 0.241308i 0.140941 + 0.0413840i
\(35\) −1.94992 + 1.65749i −0.329596 + 0.280167i
\(36\) −1.24270 2.72114i −0.207117 0.453523i
\(37\) 1.06862 + 0.153645i 0.175680 + 0.0252590i 0.229593 0.973287i \(-0.426260\pi\)
−0.0539132 + 0.998546i \(0.517169\pi\)
\(38\) 0.699392 + 0.606027i 0.113456 + 0.0983105i
\(39\) −0.0527664 + 0.115542i −0.00844938 + 0.0185016i
\(40\) −2.04272 + 0.909560i −0.322982 + 0.143814i
\(41\) −0.702947 4.88910i −0.109782 0.763549i −0.968124 0.250472i \(-0.919414\pi\)
0.858342 0.513078i \(-0.171495\pi\)
\(42\) 0.0571483 + 0.0889245i 0.00881817 + 0.0137213i
\(43\) −5.24726 + 4.54678i −0.800200 + 0.693377i −0.955662 0.294465i \(-0.904859\pi\)
0.155462 + 0.987842i \(0.450313\pi\)
\(44\) −3.69609 + 1.08527i −0.557207 + 0.163611i
\(45\) −5.59270 3.66963i −0.833710 0.547037i
\(46\) 4.53178 1.56940i 0.668174 0.231395i
\(47\) 7.27641i 1.06137i 0.847568 + 0.530687i \(0.178066\pi\)
−0.847568 + 0.530687i \(0.821934\pi\)
\(48\) 0.0260204 + 0.0886173i 0.00375572 + 0.0127908i
\(49\) −3.72623 4.30030i −0.532318 0.614328i
\(50\) −2.78251 + 4.15423i −0.393507 + 0.587497i
\(51\) −0.0112580 0.0783012i −0.00157644 0.0109644i
\(52\) −0.743545 + 1.15698i −0.103111 + 0.160444i
\(53\) 0.417802 + 0.190804i 0.0573896 + 0.0262089i 0.443903 0.896075i \(-0.353593\pi\)
−0.386513 + 0.922284i \(0.626321\pi\)
\(54\) −0.362376 + 0.418204i −0.0493131 + 0.0569103i
\(55\) −5.70223 + 6.45595i −0.768888 + 0.870520i
\(56\) 0.475445 + 1.04108i 0.0635340 + 0.139120i
\(57\) 0.0240800 0.0820090i 0.00318947 0.0108624i
\(58\) 0.00157096 0.00535019i 0.000206277 0.000702515i
\(59\) 0.895090 + 1.95997i 0.116531 + 0.255167i 0.958906 0.283725i \(-0.0915704\pi\)
−0.842375 + 0.538892i \(0.818843\pi\)
\(60\) 0.154787 + 0.136716i 0.0199830 + 0.0176500i
\(61\) 6.33405 7.30988i 0.810992 0.935934i −0.187939 0.982181i \(-0.560181\pi\)
0.998930 + 0.0462467i \(0.0147260\pi\)
\(62\) −6.06760 2.77098i −0.770586 0.351915i
\(63\) −1.85102 + 2.88025i −0.233207 + 0.362877i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −0.0291719 + 3.07513i −0.00361832 + 0.381423i
\(66\) 0.232984 + 0.268878i 0.0286784 + 0.0330966i
\(67\) −2.18008 7.42468i −0.266339 0.907069i −0.978707 0.205262i \(-0.934195\pi\)
0.712368 0.701806i \(-0.247623\pi\)
\(68\) 0.856515i 0.103868i
\(69\) −0.305719 0.320511i −0.0368043 0.0385850i
\(70\) 2.13971 + 1.40396i 0.255744 + 0.167806i
\(71\) 3.45459 1.01436i 0.409984 0.120382i −0.0702355 0.997530i \(-0.522375\pi\)
0.480220 + 0.877148i \(0.340557\pi\)
\(72\) −2.26080 + 1.95900i −0.266438 + 0.230870i
\(73\) −7.64561 11.8968i −0.894851 1.39242i −0.919657 0.392723i \(-0.871533\pi\)
0.0248059 0.999692i \(-0.492103\pi\)
\(74\) −0.153645 1.06862i −0.0178608 0.124225i
\(75\) 0.455763 + 0.0743796i 0.0526269 + 0.00858861i
\(76\) 0.384437 0.841800i 0.0440979 0.0965610i
\(77\) 3.33194 + 2.88714i 0.379710 + 0.329020i
\(78\) 0.125728 + 0.0180770i 0.0142359 + 0.00204681i
\(79\) −0.879284 1.92536i −0.0989272 0.216620i 0.853697 0.520770i \(-0.174355\pi\)
−0.952624 + 0.304150i \(0.901628\pi\)
\(80\) 1.44822 + 1.70372i 0.161916 + 0.190482i
\(81\) −8.56185 2.51398i −0.951316 0.279332i
\(82\) −4.49301 + 2.05189i −0.496170 + 0.226593i
\(83\) 10.1835 + 1.46416i 1.11778 + 0.160713i 0.676349 0.736581i \(-0.263561\pi\)
0.441433 + 0.897294i \(0.354470\pi\)
\(84\) 0.0692219 0.0798863i 0.00755273 0.00871631i
\(85\) −1.02012 1.62094i −0.110647 0.175816i
\(86\) 5.84093 + 3.75374i 0.629843 + 0.404776i
\(87\) −0.000509755 0 7.32916e-5i −5.46514e−5 0 7.85769e-6i
\(88\) 2.08262 + 3.24062i 0.222008 + 0.345451i
\(89\) −4.67545 5.39575i −0.495597 0.571949i 0.451756 0.892142i \(-0.350798\pi\)
−0.947352 + 0.320193i \(0.896252\pi\)
\(90\) −1.94534 + 6.40001i −0.205057 + 0.674620i
\(91\) 1.57404 0.165005
\(92\) −2.78257 3.90606i −0.290103 0.407235i
\(93\) 0.616067i 0.0638832i
\(94\) 6.98167 2.05000i 0.720104 0.211442i
\(95\) −0.275052 2.05096i −0.0282198 0.210424i
\(96\) 0.0776969 0.0499327i 0.00792990 0.00509624i
\(97\) 19.0564 2.73989i 1.93488 0.278194i 0.937348 0.348395i \(-0.113273\pi\)
0.997533 + 0.0702015i \(0.0223642\pi\)
\(98\) −3.07630 + 4.78682i −0.310754 + 0.483542i
\(99\) −4.78705 + 10.4822i −0.481117 + 1.05350i
\(100\) 4.76988 + 1.49942i 0.476988 + 0.149942i
\(101\) −1.46183 + 10.1673i −0.145458 + 1.01168i 0.778077 + 0.628169i \(0.216195\pi\)
−0.923535 + 0.383514i \(0.874714\pi\)
\(102\) −0.0719577 + 0.0328620i −0.00712488 + 0.00325382i
\(103\) 4.19683 14.2931i 0.413526 1.40834i −0.444983 0.895539i \(-0.646790\pi\)
0.858508 0.512800i \(-0.171392\pi\)
\(104\) 1.31959 + 0.387468i 0.129397 + 0.0379943i
\(105\) 0.0358558 0.233628i 0.00349916 0.0227997i
\(106\) 0.0653665 0.454634i 0.00634896 0.0441580i
\(107\) 13.5230 + 11.7177i 1.30732 + 1.13280i 0.982347 + 0.187070i \(0.0598992\pi\)
0.324969 + 0.945725i \(0.394646\pi\)
\(108\) 0.503356 + 0.229875i 0.0484355 + 0.0221198i
\(109\) 11.5072 + 7.39525i 1.10219 + 0.708336i 0.959578 0.281442i \(-0.0908128\pi\)
0.142614 + 0.989778i \(0.454449\pi\)
\(110\) 7.80094 + 3.65240i 0.743790 + 0.348242i
\(111\) −0.0838823 + 0.0539079i −0.00796176 + 0.00511671i
\(112\) 0.864960 0.749492i 0.0817310 0.0708203i
\(113\) −4.35279 14.8243i −0.409476 1.39455i −0.863855 0.503740i \(-0.831957\pi\)
0.454379 0.890809i \(-0.349861\pi\)
\(114\) −0.0854711 −0.00800511
\(115\) −9.91813 4.07807i −0.924871 0.380282i
\(116\) −0.00557606 −0.000517725
\(117\) 1.15910 + 3.94753i 0.107159 + 0.364949i
\(118\) 1.62840 1.41102i 0.149907 0.129895i
\(119\) −0.824670 + 0.529983i −0.0755973 + 0.0485835i
\(120\) 0.0875695 0.187035i 0.00799397 0.0170739i
\(121\) 3.22951 + 2.07548i 0.293592 + 0.188680i
\(122\) −8.79828 4.01804i −0.796559 0.363776i
\(123\) 0.344768 + 0.298743i 0.0310867 + 0.0269367i
\(124\) −0.949296 + 6.60250i −0.0852493 + 0.592922i
\(125\) 10.8127 2.84335i 0.967121 0.254317i
\(126\) 3.28507 + 0.964583i 0.292657 + 0.0859319i
\(127\) −0.858846 + 2.92496i −0.0762103 + 0.259548i −0.988781 0.149370i \(-0.952276\pi\)
0.912571 + 0.408918i \(0.134094\pi\)
\(128\) 0.909632 0.415415i 0.0804009 0.0367178i
\(129\) 0.0912602 0.634729i 0.00803502 0.0558848i
\(130\) 2.95879 0.838375i 0.259503 0.0735304i
\(131\) 2.74657 6.01415i 0.239969 0.525459i −0.750879 0.660440i \(-0.770370\pi\)
0.990848 + 0.134981i \(0.0430972\pi\)
\(132\) 0.192348 0.299299i 0.0167417 0.0260506i
\(133\) −1.04838 + 0.150734i −0.0909059 + 0.0130703i
\(134\) −6.50972 + 4.18355i −0.562355 + 0.361403i
\(135\) 1.22638 0.164468i 0.105550 0.0141552i
\(136\) −0.821820 + 0.241308i −0.0704705 + 0.0206920i
\(137\) 12.2743i 1.04866i −0.851515 0.524330i \(-0.824316\pi\)
0.851515 0.524330i \(-0.175684\pi\)
\(138\) −0.221397 + 0.383634i −0.0188466 + 0.0326571i
\(139\) 16.1706 1.37157 0.685785 0.727804i \(-0.259459\pi\)
0.685785 + 0.727804i \(0.259459\pi\)
\(140\) 0.744268 2.44858i 0.0629022 0.206943i
\(141\) −0.440091 0.507892i −0.0370624 0.0427723i
\(142\) −1.94654 3.02888i −0.163350 0.254178i
\(143\) 5.24393 0.753963i 0.438519 0.0630495i
\(144\) 2.51658 + 1.61731i 0.209715 + 0.134776i
\(145\) −0.0105526 + 0.00664115i −0.000876346 + 0.000551518i
\(146\) −9.26088 + 10.6876i −0.766436 + 0.884514i
\(147\) 0.520180 + 0.0747906i 0.0429037 + 0.00616863i
\(148\) −0.982048 + 0.448486i −0.0807239 + 0.0368654i
\(149\) −14.1219 4.14655i −1.15691 0.339699i −0.353678 0.935367i \(-0.615069\pi\)
−0.803230 + 0.595668i \(0.796887\pi\)
\(150\) −0.0570365 0.458256i −0.00465701 0.0374165i
\(151\) 1.73764 + 3.80489i 0.141407 + 0.309638i 0.967064 0.254535i \(-0.0819224\pi\)
−0.825657 + 0.564173i \(0.809195\pi\)
\(152\) −0.916009 0.131702i −0.0742982 0.0106825i
\(153\) −1.93641 1.67791i −0.156550 0.135651i
\(154\) 1.83148 4.01037i 0.147585 0.323165i
\(155\) 6.06712 + 13.6257i 0.487323 + 1.09445i
\(156\) −0.0180770 0.125728i −0.00144731 0.0100663i
\(157\) 1.41025 + 2.19439i 0.112550 + 0.175132i 0.892959 0.450138i \(-0.148625\pi\)
−0.780409 + 0.625270i \(0.784989\pi\)
\(158\) −1.59965 + 1.38610i −0.127261 + 0.110273i
\(159\) −0.0407027 + 0.0119514i −0.00322794 + 0.000947807i
\(160\) 1.22670 1.86955i 0.0969791 0.147801i
\(161\) −2.03906 + 5.09605i −0.160701 + 0.401625i
\(162\) 8.92330i 0.701081i
\(163\) −0.865221 2.94667i −0.0677693 0.230801i 0.918643 0.395088i \(-0.129286\pi\)
−0.986413 + 0.164287i \(0.947468\pi\)
\(164\) 3.23460 + 3.73293i 0.252580 + 0.291493i
\(165\) 0.00754646 0.795506i 0.000587491 0.0619300i
\(166\) −1.46416 10.1835i −0.113641 0.790391i
\(167\) −7.41220 + 11.5336i −0.573573 + 0.892497i −0.999927 0.0120592i \(-0.996161\pi\)
0.426354 + 0.904556i \(0.359798\pi\)
\(168\) −0.0961524 0.0439113i −0.00741832 0.00338783i
\(169\) −7.27455 + 8.39527i −0.559581 + 0.645790i
\(170\) −1.26788 + 1.43547i −0.0972420 + 0.110095i
\(171\) −1.15003 2.51822i −0.0879451 0.192573i
\(172\) 1.95610 6.66188i 0.149152 0.507963i
\(173\) −4.49878 + 15.3214i −0.342036 + 1.16487i 0.591477 + 0.806322i \(0.298545\pi\)
−0.933513 + 0.358545i \(0.883273\pi\)
\(174\) 0.000213937 0 0.000468457i 1.62185e−5 0 3.55137e-5i
\(175\) −1.50777 5.52032i −0.113977 0.417297i
\(176\) 2.52261 2.91125i 0.190149 0.219444i
\(177\) −0.181020 0.0826691i −0.0136063 0.00621379i
\(178\) −3.85996 + 6.00622i −0.289316 + 0.450185i
\(179\) −3.39154 23.5887i −0.253496 1.76310i −0.576876 0.816831i \(-0.695729\pi\)
0.323381 0.946269i \(-0.395181\pi\)
\(180\) 6.68883 + 0.0634527i 0.498556 + 0.00472949i
\(181\) −1.14197 1.31790i −0.0848820 0.0979591i 0.711720 0.702464i \(-0.247917\pi\)
−0.796602 + 0.604504i \(0.793371\pi\)
\(182\) −0.443459 1.51028i −0.0328714 0.111950i
\(183\) 0.893324i 0.0660364i
\(184\) −2.96389 + 3.77032i −0.218501 + 0.277952i
\(185\) −1.32436 + 2.01838i −0.0973687 + 0.148395i
\(186\) 0.591112 0.173566i 0.0433424 0.0127265i
\(187\) −2.49353 + 2.16065i −0.182345 + 0.158003i
\(188\) −3.93393 6.12131i −0.286911 0.446442i
\(189\) −0.0901318 0.626880i −0.00655612 0.0455988i
\(190\) −1.89039 + 0.841733i −0.137143 + 0.0610657i
\(191\) −6.27677 + 13.7442i −0.454171 + 0.994496i 0.534607 + 0.845101i \(0.320460\pi\)
−0.988778 + 0.149395i \(0.952267\pi\)
\(192\) −0.0697998 0.0604819i −0.00503737 0.00436491i
\(193\) −23.5131 3.38067i −1.69251 0.243346i −0.772435 0.635093i \(-0.780962\pi\)
−0.920073 + 0.391747i \(0.871871\pi\)
\(194\) −7.99770 17.5125i −0.574202 1.25733i
\(195\) −0.183954 0.216408i −0.0131732 0.0154973i
\(196\) 5.45962 + 1.60309i 0.389973 + 0.114506i
\(197\) −8.75402 + 3.99783i −0.623698 + 0.284834i −0.702089 0.712089i \(-0.747749\pi\)
0.0783906 + 0.996923i \(0.475022\pi\)
\(198\) 11.4062 + 1.63997i 0.810607 + 0.116548i
\(199\) −3.28145 + 3.78700i −0.232616 + 0.268453i −0.860042 0.510223i \(-0.829563\pi\)
0.627426 + 0.778676i \(0.284108\pi\)
\(200\) 0.0948552 4.99910i 0.00670727 0.353490i
\(201\) 0.601228 + 0.386386i 0.0424073 + 0.0272535i
\(202\) 10.1673 1.46183i 0.715367 0.102854i
\(203\) 0.00345028 + 0.00536874i 0.000242162 + 0.000376812i
\(204\) 0.0518037 + 0.0597846i 0.00362698 + 0.00418576i
\(205\) 10.5674 + 3.21206i 0.738059 + 0.224340i
\(206\) −14.8965 −1.03789
\(207\) −14.2819 1.36110i −0.992659 0.0946033i
\(208\) 1.37530i 0.0953601i
\(209\) −3.42047 + 1.00434i −0.236599 + 0.0694717i
\(210\) −0.234266 + 0.0314171i −0.0161659 + 0.00216799i
\(211\) −18.3831 + 11.8141i −1.26555 + 0.813317i −0.989033 0.147693i \(-0.952815\pi\)
−0.276513 + 0.961010i \(0.589179\pi\)
\(212\) −0.454634 + 0.0653665i −0.0312244 + 0.00448939i
\(213\) −0.179779 + 0.279742i −0.0123183 + 0.0191676i
\(214\) 7.43321 16.2765i 0.508124 1.11264i
\(215\) −4.23248 14.9372i −0.288653 1.01871i
\(216\) 0.0787517 0.547730i 0.00535838 0.0372683i
\(217\) 6.94440 3.17140i 0.471417 0.215289i
\(218\) 3.85373 13.1246i 0.261007 0.888909i
\(219\) 1.25320 + 0.367974i 0.0846836 + 0.0248654i
\(220\) 1.30667 8.51394i 0.0880956 0.574010i
\(221\) −0.167642 + 1.16598i −0.0112768 + 0.0784322i
\(222\) 0.0753566 + 0.0652969i 0.00505761 + 0.00438244i
\(223\) 18.5392 + 8.46657i 1.24148 + 0.566964i 0.924396 0.381435i \(-0.124570\pi\)
0.317081 + 0.948398i \(0.397297\pi\)
\(224\) −0.962819 0.618766i −0.0643311 0.0413431i
\(225\) 12.7341 7.84639i 0.848938 0.523092i
\(226\) −12.9974 + 8.35295i −0.864577 + 0.555630i
\(227\) 2.24627 1.94640i 0.149090 0.129187i −0.577122 0.816658i \(-0.695824\pi\)
0.726212 + 0.687471i \(0.241279\pi\)
\(228\) 0.0240800 + 0.0820090i 0.00159474 + 0.00543118i
\(229\) 22.4667 1.48464 0.742320 0.670046i \(-0.233726\pi\)
0.742320 + 0.670046i \(0.233726\pi\)
\(230\) −1.11862 + 10.6653i −0.0737597 + 0.703249i
\(231\) −0.407189 −0.0267910
\(232\) 0.00157096 + 0.00535019i 0.000103138 + 0.000351257i
\(233\) −10.5253 + 9.12026i −0.689538 + 0.597488i −0.927516 0.373783i \(-0.878061\pi\)
0.237979 + 0.971270i \(0.423515\pi\)
\(234\) 3.46107 2.22429i 0.226257 0.145407i
\(235\) −14.7354 6.89912i −0.961234 0.450049i
\(236\) −1.81264 1.16491i −0.117993 0.0758293i
\(237\) 0.177824 + 0.0812093i 0.0115509 + 0.00527511i
\(238\) 0.740851 + 0.641951i 0.0480222 + 0.0416115i
\(239\) 1.65603 11.5180i 0.107120 0.745036i −0.863488 0.504370i \(-0.831725\pi\)
0.970608 0.240666i \(-0.0773660\pi\)
\(240\) −0.204130 0.0313286i −0.0131765 0.00202225i
\(241\) −17.8128 5.23031i −1.14742 0.336914i −0.347890 0.937535i \(-0.613102\pi\)
−0.799534 + 0.600621i \(0.794920\pi\)
\(242\) 1.08155 3.68342i 0.0695247 0.236779i
\(243\) 2.25974 1.03199i 0.144962 0.0662020i
\(244\) −1.37652 + 9.57391i −0.0881227 + 0.612907i
\(245\) 12.2415 3.46865i 0.782083 0.221604i
\(246\) 0.189509 0.414968i 0.0120827 0.0264574i
\(247\) −0.688098 + 1.07070i −0.0437826 + 0.0681271i
\(248\) 6.60250 0.949296i 0.419259 0.0602803i
\(249\) −0.799361 + 0.513718i −0.0506574 + 0.0325555i
\(250\) −5.77447 9.57369i −0.365210 0.605493i
\(251\) −6.14302 + 1.80375i −0.387744 + 0.113852i −0.469793 0.882776i \(-0.655672\pi\)
0.0820495 + 0.996628i \(0.473853\pi\)
\(252\) 3.42375i 0.215676i
\(253\) −4.35215 + 17.9542i −0.273617 + 1.12877i
\(254\) 3.04844 0.191276
\(255\) 0.169242 + 0.0514426i 0.0105983 + 0.00322146i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −6.44307 10.0256i −0.401908 0.625380i 0.580028 0.814597i \(-0.303042\pi\)
−0.981935 + 0.189216i \(0.939405\pi\)
\(258\) −0.634729 + 0.0912602i −0.0395165 + 0.00568161i
\(259\) 1.03947 + 0.668027i 0.0645895 + 0.0415092i
\(260\) −1.63800 2.60274i −0.101585 0.161415i
\(261\) −0.0109235 + 0.0126064i −0.000676147 + 0.000780315i
\(262\) −6.54433 0.940933i −0.404310 0.0581310i
\(263\) 8.46647 3.86651i 0.522065 0.238419i −0.136911 0.990583i \(-0.543717\pi\)
0.658975 + 0.752164i \(0.270990\pi\)
\(264\) −0.341365 0.100234i −0.0210096 0.00616897i
\(265\) −0.782535 + 0.665179i −0.0480707 + 0.0408616i
\(266\) 0.439990 + 0.963444i 0.0269775 + 0.0590726i
\(267\) 0.652691 + 0.0938428i 0.0399440 + 0.00574309i
\(268\) 5.84808 + 5.06739i 0.357229 + 0.309540i
\(269\) 12.2184 26.7546i 0.744970 1.63126i −0.0302316 0.999543i \(-0.509624\pi\)
0.775202 0.631714i \(-0.217648\pi\)
\(270\) −0.503317 1.13036i −0.0306309 0.0687918i
\(271\) −2.18178 15.1746i −0.132534 0.921793i −0.942236 0.334951i \(-0.891280\pi\)
0.809702 0.586842i \(-0.199629\pi\)
\(272\) 0.463067 + 0.720547i 0.0280776 + 0.0436895i
\(273\) −0.109868 + 0.0952011i −0.00664951 + 0.00576183i
\(274\) −11.7771 + 3.45806i −0.711479 + 0.208909i
\(275\) −7.66735 17.6688i −0.462359 1.06547i
\(276\) 0.430469 + 0.104347i 0.0259112 + 0.00628094i
\(277\) 18.2644i 1.09740i 0.836018 + 0.548702i \(0.184878\pi\)
−0.836018 + 0.548702i \(0.815122\pi\)
\(278\) −4.55578 15.5156i −0.273237 0.930561i
\(279\) 13.0673 + 15.0804i 0.782317 + 0.902842i
\(280\) −2.55908 0.0242764i −0.152934 0.00145079i
\(281\) 3.16822 + 22.0354i 0.189000 + 1.31452i 0.834604 + 0.550851i \(0.185697\pi\)
−0.645604 + 0.763673i \(0.723394\pi\)
\(282\) −0.363331 + 0.565354i −0.0216361 + 0.0336664i
\(283\) 17.6388 + 8.05536i 1.04852 + 0.478842i 0.863739 0.503939i \(-0.168116\pi\)
0.184778 + 0.982780i \(0.440844\pi\)
\(284\) −2.35778 + 2.72102i −0.139909 + 0.161463i
\(285\) 0.143245 + 0.126521i 0.00848508 + 0.00749446i
\(286\) −2.20081 4.81910i −0.130136 0.284959i
\(287\) 1.59267 5.42415i 0.0940126 0.320178i
\(288\) 0.842794 2.87029i 0.0496621 0.169134i
\(289\) 6.75730 + 14.7964i 0.397488 + 0.870378i
\(290\) 0.00934515 + 0.00825412i 0.000548766 + 0.000484699i
\(291\) −1.16442 + 1.34381i −0.0682593 + 0.0787755i
\(292\) 12.8638 + 5.87470i 0.752796 + 0.343791i
\(293\) −6.21266 + 9.66709i −0.362948 + 0.564757i −0.973919 0.226895i \(-0.927143\pi\)
0.610972 + 0.791652i \(0.290779\pi\)
\(294\) −0.0747906 0.520180i −0.00436188 0.0303375i
\(295\) −4.81781 0.0457036i −0.280504 0.00266096i
\(296\) 0.706995 + 0.815915i 0.0410932 + 0.0474241i
\(297\) −0.600549 2.04528i −0.0348474 0.118679i
\(298\) 14.7180i 0.852594i
\(299\) 3.02341 + 5.86196i 0.174849 + 0.339006i
\(300\) −0.423625 + 0.183832i −0.0244580 + 0.0106135i
\(301\) −7.62456 + 2.23877i −0.439472 + 0.129041i
\(302\) 3.16122 2.73921i 0.181908 0.157624i
\(303\) −0.512901 0.798089i −0.0294654 0.0458490i
\(304\) 0.131702 + 0.916009i 0.00755364 + 0.0525367i
\(305\) 8.79759 + 19.7579i 0.503748 + 1.13133i
\(306\) −1.06439 + 2.33070i −0.0608473 + 0.133237i
\(307\) −5.79883 5.02472i −0.330957 0.286776i 0.473491 0.880798i \(-0.342993\pi\)
−0.804448 + 0.594023i \(0.797539\pi\)
\(308\) −4.36391 0.627436i −0.248657 0.0357515i
\(309\) 0.571535 + 1.25149i 0.0325135 + 0.0711946i
\(310\) 11.3645 9.66017i 0.645460 0.548661i
\(311\) 0.619013 + 0.181759i 0.0351010 + 0.0103066i 0.299236 0.954179i \(-0.403268\pi\)
−0.264135 + 0.964486i \(0.585086\pi\)
\(312\) −0.115542 + 0.0527664i −0.00654129 + 0.00298731i
\(313\) −3.65395 0.525358i −0.206533 0.0296950i 0.0382716 0.999267i \(-0.487815\pi\)
−0.244805 + 0.969572i \(0.578724\pi\)
\(314\) 1.70819 1.97136i 0.0963989 0.111250i
\(315\) −4.07773 6.47940i −0.229754 0.365073i
\(316\) 1.78063 + 1.14434i 0.100168 + 0.0643743i
\(317\) 18.2009 2.61689i 1.02226 0.146979i 0.389260 0.921128i \(-0.372731\pi\)
0.633004 + 0.774148i \(0.281822\pi\)
\(318\) 0.0229346 + 0.0356869i 0.00128611 + 0.00200122i
\(319\) 0.0140662 + 0.0162333i 0.000787558 + 0.000908890i
\(320\) −2.13942 0.650297i −0.119597 0.0363527i
\(321\) −1.65261 −0.0922398
\(322\) 5.46410 + 0.520744i 0.304502 + 0.0290200i
\(323\) 0.792644i 0.0441039i
\(324\) 8.56185 2.51398i 0.475658 0.139666i
\(325\) −6.19978 2.97476i −0.343902 0.165010i
\(326\) −2.58355 + 1.66035i −0.143090 + 0.0919581i
\(327\) −1.25048 + 0.179792i −0.0691518 + 0.00994252i
\(328\) 2.67043 4.15527i 0.147450 0.229436i
\(329\) −3.45953 + 7.57532i −0.190730 + 0.417641i
\(330\) −0.765408 + 0.216879i −0.0421343 + 0.0119388i
\(331\) −4.58706 + 31.9037i −0.252128 + 1.75359i 0.333262 + 0.942834i \(0.391851\pi\)
−0.585390 + 0.810752i \(0.699058\pi\)
\(332\) −9.35847 + 4.27387i −0.513613 + 0.234559i
\(333\) −0.909890 + 3.09880i −0.0498617 + 0.169813i
\(334\) 13.1547 + 3.86256i 0.719792 + 0.211350i
\(335\) 17.1027 + 2.62482i 0.934422 + 0.143409i
\(336\) −0.0150434 + 0.104629i −0.000820682 + 0.00570797i
\(337\) −7.50022 6.49898i −0.408563 0.354022i 0.426202 0.904628i \(-0.359851\pi\)
−0.834765 + 0.550606i \(0.814397\pi\)
\(338\) 10.1047 + 4.61465i 0.549622 + 0.251004i
\(339\) 1.20042 + 0.771465i 0.0651981 + 0.0419002i
\(340\) 1.73453 + 0.812104i 0.0940679 + 0.0440425i
\(341\) 21.6162 13.8919i 1.17058 0.752288i
\(342\) −2.09221 + 1.81291i −0.113134 + 0.0980310i
\(343\) −4.09186 13.9356i −0.220939 0.752451i
\(344\) −6.94312 −0.374348
\(345\) 0.938934 0.315219i 0.0505505 0.0169708i
\(346\) 15.9683 0.858459
\(347\) −0.511743 1.74284i −0.0274718 0.0935604i 0.944616 0.328178i \(-0.106434\pi\)
−0.972088 + 0.234617i \(0.924616\pi\)
\(348\) 0.000389208 0 0.000337251i 2.08638e−5 0 1.80786e-5i
\(349\) −7.67643 + 4.93334i −0.410910 + 0.264076i −0.729724 0.683741i \(-0.760352\pi\)
0.318815 + 0.947817i \(0.396715\pi\)
\(350\) −4.87192 + 3.00195i −0.260415 + 0.160461i
\(351\) −0.640229 0.411450i −0.0341729 0.0219616i
\(352\) −3.50402 1.60023i −0.186765 0.0852927i
\(353\) −11.6061 10.0567i −0.617730 0.535266i 0.288810 0.957386i \(-0.406740\pi\)
−0.906540 + 0.422121i \(0.861286\pi\)
\(354\) −0.0283212 + 0.196978i −0.00150525 + 0.0104693i
\(355\) −1.22129 + 7.95764i −0.0648194 + 0.422348i
\(356\) 6.85040 + 2.01146i 0.363071 + 0.106607i
\(357\) 0.0255074 0.0868703i 0.00135000 0.00459766i
\(358\) −21.6777 + 9.89986i −1.14570 + 0.523224i
\(359\) −0.348942 + 2.42695i −0.0184165 + 0.128089i −0.996956 0.0779719i \(-0.975156\pi\)
0.978539 + 0.206061i \(0.0660646\pi\)
\(360\) −1.82358 6.43576i −0.0961110 0.339194i
\(361\) −7.53712 + 16.5040i −0.396690 + 0.868631i
\(362\) −0.942790 + 1.46701i −0.0495519 + 0.0771043i
\(363\) −0.350948 + 0.0504587i −0.0184200 + 0.00264840i
\(364\) −1.32417 + 0.850992i −0.0694053 + 0.0446041i
\(365\) 31.3413 4.20316i 1.64048 0.220003i
\(366\) 0.857138 0.251678i 0.0448033 0.0131554i
\(367\) 22.7391i 1.18697i −0.804845 0.593485i \(-0.797752\pi\)
0.804845 0.593485i \(-0.202248\pi\)
\(368\) 4.45262 + 1.78161i 0.232109 + 0.0928729i
\(369\) 14.7760 0.769208
\(370\) 2.30974 + 0.702067i 0.120078 + 0.0364987i
\(371\) 0.344248 + 0.397284i 0.0178725 + 0.0206259i
\(372\) −0.333071 0.518268i −0.0172689 0.0268710i
\(373\) 34.5081 4.96151i 1.78676 0.256897i 0.832107 0.554615i \(-0.187134\pi\)
0.954654 + 0.297717i \(0.0962253\pi\)
\(374\) 2.77564 + 1.78380i 0.143525 + 0.0922379i
\(375\) −0.582757 + 0.852440i −0.0300934 + 0.0440198i
\(376\) −4.76504 + 5.49915i −0.245738 + 0.283597i
\(377\) 0.00759072 + 0.00109138i 0.000390942 + 5.62090e-5i
\(378\) −0.576094 + 0.263093i −0.0296311 + 0.0135321i
\(379\) −30.1488 8.85248i −1.54864 0.454721i −0.607945 0.793979i \(-0.708006\pi\)
−0.940693 + 0.339258i \(0.889824\pi\)
\(380\) 1.34022 + 1.57667i 0.0687519 + 0.0808816i
\(381\) −0.116960 0.256107i −0.00599204 0.0131207i
\(382\) 14.9558 + 2.15032i 0.765207 + 0.110020i
\(383\) 25.2467 + 21.8764i 1.29004 + 1.11783i 0.986280 + 0.165083i \(0.0527893\pi\)
0.303765 + 0.952747i \(0.401756\pi\)
\(384\) −0.0383671 + 0.0840122i −0.00195791 + 0.00428723i
\(385\) −9.00591 + 4.01006i −0.458984 + 0.204371i
\(386\) 3.38067 + 23.5131i 0.172072 + 1.19678i
\(387\) −11.2292 17.4730i −0.570812 0.888200i
\(388\) −14.5499 + 12.6076i −0.738661 + 0.640053i
\(389\) −7.19341 + 2.11218i −0.364720 + 0.107092i −0.458957 0.888458i \(-0.651777\pi\)
0.0942372 + 0.995550i \(0.469959\pi\)
\(390\) −0.155816 + 0.237472i −0.00789007 + 0.0120248i
\(391\) −3.55775 2.05320i −0.179923 0.103835i
\(392\) 5.69011i 0.287394i
\(393\) 0.172037 + 0.585905i 0.00867813 + 0.0295550i
\(394\) 6.30218 + 7.27311i 0.317499 + 0.366414i
\(395\) 4.73274 + 0.0448965i 0.238130 + 0.00225899i
\(396\) −1.63997 11.4062i −0.0824116 0.573185i
\(397\) −14.2718 + 22.2073i −0.716279 + 1.11455i 0.272060 + 0.962280i \(0.412295\pi\)
−0.988339 + 0.152271i \(0.951341\pi\)
\(398\) 4.55809 + 2.08161i 0.228476 + 0.104342i
\(399\) 0.0640599 0.0739291i 0.00320701 0.00370108i
\(400\) −4.82333 + 1.31740i −0.241166 + 0.0658698i
\(401\) 3.29610 + 7.21746i 0.164600 + 0.360423i 0.973902 0.226970i \(-0.0728818\pi\)
−0.809302 + 0.587392i \(0.800155\pi\)
\(402\) 0.201349 0.685731i 0.0100424 0.0342012i
\(403\) 2.58456 8.80221i 0.128746 0.438469i
\(404\) −4.26707 9.34359i −0.212295 0.464861i
\(405\) 13.2090 14.9549i 0.656359 0.743116i
\(406\) 0.00417921 0.00482307i 0.000207411 0.000239365i
\(407\) 3.78298 + 1.72763i 0.187515 + 0.0856354i
\(408\) 0.0427682 0.0665485i 0.00211734 0.00329464i
\(409\) −1.73550 12.0707i −0.0858150 0.596856i −0.986670 0.162736i \(-0.947968\pi\)
0.900855 0.434121i \(-0.142941\pi\)
\(410\) 0.104770 11.0443i 0.00517423 0.545438i
\(411\) 0.742371 + 0.856741i 0.0366184 + 0.0422599i
\(412\) 4.19683 + 14.2931i 0.206763 + 0.704169i
\(413\) 2.46605i 0.121347i
\(414\) 2.71770 + 14.0868i 0.133568 + 0.692330i
\(415\) −12.6205 + 19.2343i −0.619517 + 0.944174i
\(416\) −1.31959 + 0.387468i −0.0646984 + 0.0189972i
\(417\) −1.12870 + 0.978028i −0.0552729 + 0.0478942i
\(418\) 1.92732 + 2.99896i 0.0942681 + 0.146684i
\(419\) −2.14712 14.9335i −0.104894 0.729550i −0.972602 0.232477i \(-0.925317\pi\)
0.867708 0.497074i \(-0.165592\pi\)
\(420\) 0.0961448 + 0.215925i 0.00469139 + 0.0105361i
\(421\) 8.54469 18.7103i 0.416443 0.911883i −0.578892 0.815404i \(-0.696515\pi\)
0.995335 0.0964786i \(-0.0307579\pi\)
\(422\) 16.5147 + 14.3101i 0.803923 + 0.696603i
\(423\) −21.5456 3.09779i −1.04758 0.150620i
\(424\) 0.190804 + 0.417802i 0.00926626 + 0.0202903i
\(425\) 4.24979 0.528947i 0.206145 0.0256577i
\(426\) 0.319060 + 0.0936846i 0.0154585 + 0.00453903i
\(427\) 10.0697 4.59867i 0.487306 0.222545i
\(428\) −17.7113 2.54650i −0.856109 0.123090i
\(429\) −0.320424 + 0.369789i −0.0154702 + 0.0178536i
\(430\) −13.1397 + 8.26934i −0.633655 + 0.398783i
\(431\) −12.7650 8.20355i −0.614867 0.395151i 0.195812 0.980641i \(-0.437266\pi\)
−0.810679 + 0.585490i \(0.800902\pi\)
\(432\) −0.547730 + 0.0787517i −0.0263527 + 0.00378894i
\(433\) 1.83241 + 2.85128i 0.0880599 + 0.137024i 0.882489 0.470333i \(-0.155866\pi\)
−0.794429 + 0.607357i \(0.792230\pi\)
\(434\) −4.99940 5.76962i −0.239979 0.276951i
\(435\) 0.000334901 0.00110179i 1.60573e−5 5.28269e-5i
\(436\) −13.6787 −0.655089
\(437\) −2.57507 3.61478i −0.123182 0.172918i
\(438\) 1.30611i 0.0624084i
\(439\) −15.2146 + 4.46741i −0.726154 + 0.213218i −0.623860 0.781536i \(-0.714436\pi\)
−0.102294 + 0.994754i \(0.532618\pi\)
\(440\) −8.53720 + 1.14492i −0.406995 + 0.0545817i
\(441\) 14.3196 9.20267i 0.681887 0.438222i
\(442\) 1.16598 0.167642i 0.0554599 0.00797394i
\(443\) 16.5079 25.6868i 0.784314 1.22042i −0.186940 0.982371i \(-0.559857\pi\)
0.971254 0.238045i \(-0.0765065\pi\)
\(444\) 0.0414215 0.0907004i 0.00196578 0.00430445i
\(445\) 15.3599 4.35225i 0.728131 0.206317i
\(446\) 2.90052 20.1735i 0.137344 0.955245i
\(447\) 1.23650 0.564688i 0.0584842 0.0267088i
\(448\) −0.322444 + 1.09815i −0.0152341 + 0.0518825i
\(449\) −6.20596 1.82224i −0.292878 0.0859966i 0.131993 0.991251i \(-0.457862\pi\)
−0.424871 + 0.905254i \(0.639680\pi\)
\(450\) −11.1162 10.0077i −0.524021 0.471766i
\(451\) 2.70784 18.8335i 0.127507 0.886833i
\(452\) 11.6764 + 10.1177i 0.549212 + 0.475895i
\(453\) −0.351414 0.160485i −0.0165109 0.00754026i
\(454\) −2.50041 1.60691i −0.117350 0.0754162i
\(455\) −1.49243 + 3.18759i −0.0699660 + 0.149436i
\(456\) 0.0719029 0.0462092i 0.00336716 0.00216394i
\(457\) 15.0484 13.0395i 0.703935 0.609963i −0.227540 0.973769i \(-0.573068\pi\)
0.931475 + 0.363806i \(0.118523\pi\)
\(458\) −6.32959 21.5566i −0.295762 1.00727i
\(459\) 0.473964 0.0221227
\(460\) 10.5484 1.93145i 0.491823 0.0900545i
\(461\) −13.0285 −0.606796 −0.303398 0.952864i \(-0.598121\pi\)
−0.303398 + 0.952864i \(0.598121\pi\)
\(462\) 0.114718 + 0.390695i 0.00533718 + 0.0181768i
\(463\) 14.3298 12.4168i 0.665962 0.577059i −0.254891 0.966970i \(-0.582040\pi\)
0.920853 + 0.389911i \(0.127494\pi\)
\(464\) 0.00469088 0.00301465i 0.000217769 0.000139952i
\(465\) −1.24759 0.584123i −0.0578558 0.0270881i
\(466\) 11.7162 + 7.52951i 0.542740 + 0.348798i
\(467\) −29.8041 13.6111i −1.37917 0.629846i −0.418673 0.908137i \(-0.637505\pi\)
−0.960497 + 0.278291i \(0.910232\pi\)
\(468\) −3.10929 2.69421i −0.143727 0.124540i
\(469\) 1.26039 8.76618i 0.0581993 0.404785i
\(470\) −2.46821 + 16.0823i −0.113850 + 0.741819i
\(471\) −0.231156 0.0678737i −0.0106511 0.00312745i
\(472\) −0.607046 + 2.06741i −0.0279415 + 0.0951602i
\(473\) −24.3289 + 11.1106i −1.11864 + 0.510867i
\(474\) 0.0278211 0.193500i 0.00127786 0.00888774i
\(475\) 4.41418 + 1.38761i 0.202537 + 0.0636678i
\(476\) 0.407226 0.891700i 0.0186652 0.0408710i
\(477\) −0.742846 + 1.15589i −0.0340126 + 0.0529246i
\(478\) −11.5180 + 1.65603i −0.526820 + 0.0757453i
\(479\) 17.9599 11.5421i 0.820608 0.527373i −0.0616728 0.998096i \(-0.519644\pi\)
0.882281 + 0.470724i \(0.156007\pi\)
\(480\) 0.0274504 + 0.204687i 0.00125293 + 0.00934265i
\(481\) 1.42465 0.418314i 0.0649583 0.0190735i
\(482\) 18.5648i 0.845604i
\(483\) −0.165893 0.479030i −0.00754837 0.0217966i
\(484\) −3.83893 −0.174497
\(485\) −12.5197 + 41.1888i −0.568491 + 1.87029i
\(486\) −1.62682 1.87746i −0.0737943 0.0851631i
\(487\) −11.3067 17.5936i −0.512357 0.797243i 0.484638 0.874715i \(-0.338951\pi\)
−0.996995 + 0.0774722i \(0.975315\pi\)
\(488\) 9.57391 1.37652i 0.433390 0.0623121i
\(489\) 0.238613 + 0.153347i 0.0107904 + 0.00693459i
\(490\) −6.77698 10.7684i −0.306153 0.486468i
\(491\) 27.0112 31.1726i 1.21900 1.40680i 0.333118 0.942885i \(-0.391899\pi\)
0.885881 0.463913i \(-0.153555\pi\)
\(492\) −0.451550 0.0649230i −0.0203574 0.00292696i
\(493\) −0.00434439 + 0.00198402i −0.000195661 + 8.93556e-5i
\(494\) 1.22119 + 0.358574i 0.0549439 + 0.0161330i
\(495\) −16.6886 19.6329i −0.750096 0.882433i
\(496\) −2.77098 6.06760i −0.124421 0.272443i
\(497\) 4.07877 + 0.586439i 0.182958 + 0.0263054i
\(498\) 0.718115 + 0.622250i 0.0321795 + 0.0278837i
\(499\) −14.7053 + 32.2001i −0.658300 + 1.44148i 0.225798 + 0.974174i \(0.427501\pi\)
−0.884098 + 0.467301i \(0.845226\pi\)
\(500\) −7.55903 + 8.23778i −0.338050 + 0.368405i
\(501\) −0.180204 1.25335i −0.00805093 0.0559954i
\(502\) 3.46138 + 5.38601i 0.154489 + 0.240389i
\(503\) −3.70454 + 3.21001i −0.165177 + 0.143127i −0.733527 0.679660i \(-0.762127\pi\)
0.568350 + 0.822787i \(0.307582\pi\)
\(504\) −3.28507 + 0.964583i −0.146329 + 0.0429659i
\(505\) −19.2037 12.6005i −0.854553 0.560713i
\(506\) 18.4531 0.882429i 0.820340 0.0392288i
\(507\) 1.02597i 0.0455648i
\(508\) −0.858846 2.92496i −0.0381051 0.129774i
\(509\) −6.24616 7.20845i −0.276856 0.319509i 0.600244 0.799817i \(-0.295070\pi\)
−0.877100 + 0.480308i \(0.840525\pi\)
\(510\) 0.00167794 0.176879i 7.43006e−5 0.00783235i
\(511\) −2.30341 16.0206i −0.101897 0.708708i
\(512\) −0.540641 + 0.841254i −0.0238932 + 0.0371785i
\(513\) 0.465821 + 0.212733i 0.0205665 + 0.00939240i
\(514\) −7.80428 + 9.00662i −0.344232 + 0.397265i
\(515\) 24.9656 + 22.0509i 1.10012 + 0.971680i
\(516\) 0.266387 + 0.583307i 0.0117270 + 0.0256787i
\(517\) −7.89688 + 26.8943i −0.347304 + 1.18281i
\(518\) 0.348114 1.18557i 0.0152953 0.0520909i
\(519\) −0.612655 1.34153i −0.0268926 0.0588865i
\(520\) −2.03583 + 2.30493i −0.0892771 + 0.101078i
\(521\) 15.2873 17.6425i 0.669748 0.772930i −0.314589 0.949228i \(-0.601867\pi\)
0.984337 + 0.176298i \(0.0564121\pi\)
\(522\) 0.0151732 + 0.00692938i 0.000664114 + 0.000303291i
\(523\) 2.28976 3.56293i 0.100124 0.155796i −0.787577 0.616216i \(-0.788665\pi\)
0.887701 + 0.460420i \(0.152301\pi\)
\(524\) 0.940933 + 6.54433i 0.0411049 + 0.285891i
\(525\) 0.439122 + 0.294125i 0.0191648 + 0.0128367i
\(526\) −6.09516 7.03419i −0.265762 0.306705i
\(527\) 1.60962 + 5.48186i 0.0701162 + 0.238794i
\(528\) 0.355777i 0.0154832i
\(529\) −22.8950 + 2.19471i −0.995437 + 0.0954220i
\(530\) 0.858700 + 0.563434i 0.0372996 + 0.0244740i
\(531\) −6.18459 + 1.81596i −0.268388 + 0.0788059i
\(532\) 0.800458 0.693601i 0.0347043 0.0300714i
\(533\) −3.67265 5.71475i −0.159080 0.247533i
\(534\) −0.0938428 0.652691i −0.00406098 0.0282447i
\(535\) −36.5513 + 16.2752i −1.58025 + 0.703637i
\(536\) 3.21453 7.03885i 0.138847 0.304032i
\(537\) 1.66342 + 1.44136i 0.0717817 + 0.0621992i
\(538\) −29.1132 4.18584i −1.25516 0.180465i
\(539\) −9.10550 19.9383i −0.392202 0.858802i
\(540\) −0.942776 + 0.801389i −0.0405706 + 0.0344863i
\(541\) 19.2376 + 5.64867i 0.827089 + 0.242855i 0.667766 0.744371i \(-0.267251\pi\)
0.159323 + 0.987227i \(0.449069\pi\)
\(542\) −13.9453 + 6.36859i −0.599000 + 0.273554i
\(543\) 0.159419 + 0.0229210i 0.00684131 + 0.000983632i
\(544\) 0.560898 0.647311i 0.0240483 0.0277532i
\(545\) −25.8867 + 16.2914i −1.10886 + 0.697849i
\(546\) 0.122298 + 0.0785963i 0.00523388 + 0.00336361i
\(547\) −5.59151 + 0.803938i −0.239076 + 0.0343739i −0.260811 0.965390i \(-0.583990\pi\)
0.0217354 + 0.999764i \(0.493081\pi\)
\(548\) 6.63597 + 10.3258i 0.283474 + 0.441095i
\(549\) 18.9481 + 21.8673i 0.808686 + 0.933273i
\(550\) −14.7929 + 12.3346i −0.630771 + 0.525951i
\(551\) −0.00516025 −0.000219834
\(552\) −0.0211571 0.442430i −0.000900504 0.0188311i
\(553\) 2.42251i 0.103015i
\(554\) 17.5246 5.14569i 0.744549 0.218619i
\(555\) −0.0296357 0.220983i −0.00125797 0.00938018i
\(556\) −13.6036 + 8.74248i −0.576919 + 0.370764i
\(557\) −34.5963 + 4.97419i −1.46589 + 0.210763i −0.828592 0.559853i \(-0.810857\pi\)
−0.637299 + 0.770617i \(0.719948\pi\)
\(558\) 10.7881 16.7866i 0.456696 0.710634i
\(559\) −3.96676 + 8.68599i −0.167776 + 0.367378i
\(560\) 0.697682 + 2.46226i 0.0294825 + 0.104049i
\(561\) 0.0433674 0.301627i 0.00183097 0.0127347i
\(562\) 20.2503 9.24798i 0.854205 0.390103i
\(563\) −4.00533 + 13.6409i −0.168804 + 0.574895i 0.831022 + 0.556240i \(0.187757\pi\)
−0.999826 + 0.0186549i \(0.994062\pi\)
\(564\) 0.644816 + 0.189335i 0.0271516 + 0.00797244i
\(565\) 34.1476 + 5.24077i 1.43660 + 0.220481i
\(566\) 2.75964 19.1938i 0.115997 0.806774i
\(567\) −7.71830 6.68794i −0.324138 0.280867i
\(568\) 3.27507 + 1.49567i 0.137419 + 0.0627571i
\(569\) 11.0496 + 7.10113i 0.463222 + 0.297695i 0.751358 0.659895i \(-0.229399\pi\)
−0.288136 + 0.957590i \(0.593035\pi\)
\(570\) 0.0810394 0.173087i 0.00339437 0.00724983i
\(571\) 6.97446 4.48221i 0.291872 0.187575i −0.386508 0.922286i \(-0.626319\pi\)
0.678380 + 0.734711i \(0.262682\pi\)
\(572\) −4.00385 + 3.46936i −0.167409 + 0.145061i
\(573\) −0.393158 1.33897i −0.0164244 0.0559365i
\(574\) −5.65314 −0.235958
\(575\) 17.6624 16.2185i 0.736571 0.676360i
\(576\) −2.99147 −0.124645
\(577\) 5.22928 + 17.8093i 0.217698 + 0.741410i 0.993837 + 0.110849i \(0.0353570\pi\)
−0.776140 + 0.630561i \(0.782825\pi\)
\(578\) 12.2933 10.6522i 0.511334 0.443074i
\(579\) 1.84568 1.18615i 0.0767038 0.0492945i
\(580\) 0.00528694 0.0112921i 0.000219528 0.000468877i
\(581\) 9.90568 + 6.36599i 0.410957 + 0.264106i
\(582\) 1.61743 + 0.738655i 0.0670446 + 0.0306183i
\(583\) 1.33716 + 1.15866i 0.0553796 + 0.0479867i
\(584\) 2.01258 13.9978i 0.0832812 0.579234i
\(585\) −9.09312 1.39556i −0.375954 0.0576992i
\(586\) 11.0258 + 3.23747i 0.455472 + 0.133739i
\(587\) −4.20940 + 14.3359i −0.173741 + 0.591706i 0.825872 + 0.563858i \(0.190684\pi\)
−0.999612 + 0.0278477i \(0.991135\pi\)
\(588\) −0.478038 + 0.218313i −0.0197140 + 0.00900307i
\(589\) −0.878505 + 6.11014i −0.0361982 + 0.251764i
\(590\) 1.31348 + 4.63553i 0.0540752 + 0.190842i
\(591\) 0.369233 0.808508i 0.0151882 0.0332576i
\(592\) 0.583682 0.908226i 0.0239892 0.0373279i
\(593\) −44.3260 + 6.37311i −1.82025 + 0.261712i −0.966073 0.258270i \(-0.916847\pi\)
−0.854177 + 0.519983i \(0.825938\pi\)
\(594\) −1.79324 + 1.15244i −0.0735775 + 0.0472854i
\(595\) −0.291357 2.17254i −0.0119445 0.0890654i
\(596\) 14.1219 4.14655i 0.578454 0.169849i
\(597\) 0.462800i 0.0189411i
\(598\) 4.77271 4.55245i 0.195171 0.186163i
\(599\) −24.3359 −0.994336 −0.497168 0.867654i \(-0.665627\pi\)
−0.497168 + 0.867654i \(0.665627\pi\)
\(600\) 0.295734 + 0.354673i 0.0120733 + 0.0144795i
\(601\) −17.3309 20.0009i −0.706940 0.815853i 0.282732 0.959199i \(-0.408759\pi\)
−0.989673 + 0.143346i \(0.954214\pi\)
\(602\) 4.29617 + 6.68497i 0.175099 + 0.272459i
\(603\) 22.9127 3.29436i 0.933079 0.134157i
\(604\) −3.51887 2.26144i −0.143181 0.0920168i
\(605\) −7.26510 + 4.57220i −0.295368 + 0.185887i
\(606\) −0.621260 + 0.716972i −0.0252370 + 0.0291250i
\(607\) 5.88323 + 0.845881i 0.238793 + 0.0343333i 0.260672 0.965427i \(-0.416056\pi\)
−0.0218792 + 0.999761i \(0.506965\pi\)
\(608\) 0.841800 0.384437i 0.0341395 0.0155910i
\(609\) −0.000565541 0 0.000166058i −2.29169e−5 0 6.72900e-6i
\(610\) 16.4790 14.0077i 0.667215 0.567154i
\(611\) 4.15717 + 9.10294i 0.168181 + 0.368266i
\(612\) 2.53616 + 0.364645i 0.102518 + 0.0147399i
\(613\) −14.5319 12.5920i −0.586940 0.508586i 0.310002 0.950736i \(-0.399670\pi\)
−0.896941 + 0.442150i \(0.854216\pi\)
\(614\) −3.18746 + 6.97957i −0.128635 + 0.281672i
\(615\) −0.931874 + 0.414935i −0.0375768 + 0.0167318i
\(616\) 0.627436 + 4.36391i 0.0252801 + 0.175827i
\(617\) −7.50772 11.6822i −0.302250 0.470310i 0.656594 0.754244i \(-0.271996\pi\)
−0.958844 + 0.283935i \(0.908360\pi\)
\(618\) 1.03977 0.900968i 0.0418258 0.0362422i
\(619\) 38.2748 11.2385i 1.53840 0.451714i 0.600788 0.799408i \(-0.294854\pi\)
0.937608 + 0.347695i \(0.113035\pi\)
\(620\) −12.4706 8.18256i −0.500832 0.328620i
\(621\) 2.16147 1.53977i 0.0867367 0.0617889i
\(622\) 0.645146i 0.0258680i
\(623\) −2.30213 7.84032i −0.0922328 0.314116i
\(624\) 0.0831810 + 0.0959960i 0.00332990 + 0.00384291i
\(625\) −4.49404 + 24.5928i −0.179762 + 0.983710i
\(626\) 0.525358 + 3.65395i 0.0209975 + 0.146041i
\(627\) 0.178004 0.276980i 0.00710879 0.0110615i
\(628\) −2.37276 1.08360i −0.0946834 0.0432404i
\(629\) −0.605552 + 0.698844i −0.0241449 + 0.0278647i
\(630\) −5.06811 + 5.73801i −0.201918 + 0.228608i
\(631\) 15.3213 + 33.5491i 0.609933 + 1.33557i 0.922620 + 0.385711i \(0.126044\pi\)
−0.312687 + 0.949856i \(0.601229\pi\)
\(632\) 0.596326 2.03090i 0.0237206 0.0807849i
\(633\) 0.568599 1.93647i 0.0225998 0.0769678i
\(634\) −7.63868 16.7264i −0.303371 0.664289i
\(635\) −5.10901 4.51254i −0.202745 0.179075i
\(636\) 0.0277799 0.0320597i 0.00110154 0.00127125i
\(637\) −7.11844 3.25088i −0.282043 0.128805i
\(638\) 0.0116128 0.0180699i 0.000459756 0.000715394i
\(639\) 1.53281 + 10.6610i 0.0606372 + 0.421741i
\(640\) −0.0212112 + 2.23597i −0.000838447 + 0.0883844i
\(641\) 10.1816 + 11.7502i 0.402148 + 0.464103i 0.920316 0.391175i \(-0.127931\pi\)
−0.518168 + 0.855279i \(0.673386\pi\)
\(642\) 0.465595 + 1.58567i 0.0183756 + 0.0625814i
\(643\) 28.4579i 1.12227i 0.827724 + 0.561136i \(0.189635\pi\)
−0.827724 + 0.561136i \(0.810365\pi\)
\(644\) −1.03976 5.38947i −0.0409724 0.212375i
\(645\) 1.19886 + 0.786628i 0.0472050 + 0.0309735i
\(646\) −0.760536 + 0.223314i −0.0299229 + 0.00878616i
\(647\) 24.7703 21.4636i 0.973820 0.843820i −0.0139238 0.999903i \(-0.504432\pi\)
0.987744 + 0.156083i \(0.0498868\pi\)
\(648\) −4.82430 7.50676i −0.189516 0.294893i
\(649\) 1.18123 + 8.21566i 0.0463675 + 0.322493i
\(650\) −1.10758 + 6.78673i −0.0434429 + 0.266198i
\(651\) −0.292906 + 0.641374i −0.0114799 + 0.0251374i
\(652\) 2.32096 + 2.01112i 0.0908959 + 0.0787617i
\(653\) −14.3223 2.05924i −0.560475 0.0805841i −0.143745 0.989615i \(-0.545915\pi\)
−0.416729 + 0.909031i \(0.636824\pi\)
\(654\) 0.524811 + 1.14917i 0.0205217 + 0.0449363i
\(655\) 9.57508 + 11.2644i 0.374129 + 0.440136i
\(656\) −4.73930 1.39158i −0.185038 0.0543322i
\(657\) 38.4816 17.5740i 1.50131 0.685626i
\(658\) 8.24313 + 1.18518i 0.321351 + 0.0462032i
\(659\) −11.7391 + 13.5477i −0.457292 + 0.527743i −0.936833 0.349776i \(-0.886258\pi\)
0.479541 + 0.877519i \(0.340803\pi\)
\(660\) 0.423734 + 0.673302i 0.0164938 + 0.0262082i
\(661\) 1.44448 + 0.928308i 0.0561836 + 0.0361070i 0.568431 0.822731i \(-0.307551\pi\)
−0.512248 + 0.858838i \(0.671187\pi\)
\(662\) 31.9037 4.58706i 1.23997 0.178281i
\(663\) −0.0588192 0.0915245i −0.00228435 0.00355452i
\(664\) 6.73734 + 7.77530i 0.261459 + 0.301740i
\(665\) 0.688767 2.26598i 0.0267093 0.0878711i
\(666\) 3.22962 0.125145
\(667\) −0.0133667 + 0.0231616i −0.000517560 + 0.000896820i
\(668\) 13.7100i 0.530457i
\(669\) −1.80611 + 0.530321i −0.0698282 + 0.0205034i
\(670\) −2.29989 17.1494i −0.0888527 0.662541i
\(671\) 31.3444 20.1438i 1.21004 0.777644i
\(672\) 0.104629 0.0150434i 0.00403614 0.000580310i
\(673\) 20.2803 31.5567i 0.781747 1.21642i −0.190321 0.981722i \(-0.560953\pi\)
0.972068 0.234700i \(-0.0754109\pi\)
\(674\) −4.12267 + 9.02738i −0.158799 + 0.347722i
\(675\) −0.829724 + 2.63947i −0.0319361 + 0.101593i
\(676\) 1.58091 10.9955i 0.0608042 0.422903i
\(677\) 4.43279 2.02439i 0.170366 0.0778035i −0.328407 0.944536i \(-0.606512\pi\)
0.498772 + 0.866733i \(0.333784\pi\)
\(678\) 0.402017 1.36914i 0.0154394 0.0525817i
\(679\) 21.1418 + 6.20781i 0.811350 + 0.238234i
\(680\) 0.290536 1.89306i 0.0111415 0.0725956i
\(681\) −0.0390670 + 0.271717i −0.00149705 + 0.0104122i
\(682\) −19.4192 16.8268i −0.743598 0.644331i
\(683\) 27.0727 + 12.3637i 1.03591 + 0.473084i 0.859448 0.511224i \(-0.170808\pi\)
0.176461 + 0.984308i \(0.443535\pi\)
\(684\) 2.32892 + 1.49671i 0.0890485 + 0.0572280i
\(685\) 24.8566 + 11.6378i 0.949720 + 0.444658i
\(686\) −12.2183 + 7.85221i −0.466496 + 0.299799i
\(687\) −1.56817 + 1.35883i −0.0598294 + 0.0518425i
\(688\) 1.95610 + 6.66188i 0.0745758 + 0.253982i
\(689\) 0.631689 0.0240655
\(690\) −0.566978 0.812093i −0.0215845 0.0309158i
\(691\) 4.16285 0.158362 0.0791812 0.996860i \(-0.474769\pi\)
0.0791812 + 0.996860i \(0.474769\pi\)
\(692\) −4.49878 15.3214i −0.171018 0.582433i
\(693\) −9.96740 + 8.63680i −0.378630 + 0.328085i
\(694\) −1.52807 + 0.982028i −0.0580046 + 0.0372773i
\(695\) −15.3321 + 32.7470i −0.581580 + 1.24216i
\(696\) −0.000433243 0 0.000278428i −1.64220e−5 0 1.05538e-5i
\(697\) 3.84834 + 1.75748i 0.145766 + 0.0665691i
\(698\) 6.89621 + 5.97560i 0.261025 + 0.226180i
\(699\) 0.183056 1.27318i 0.00692383 0.0481563i
\(700\) 4.25293 + 3.82883i 0.160746 + 0.144716i
\(701\) 10.5790 + 3.10627i 0.399563 + 0.117322i 0.475339 0.879802i \(-0.342325\pi\)
−0.0757762 + 0.997125i \(0.524143\pi\)
\(702\) −0.214410 + 0.730214i −0.00809239 + 0.0275602i
\(703\) −0.908816 + 0.415042i −0.0342766 + 0.0156536i
\(704\) −0.548216 + 3.81292i −0.0206617 + 0.143705i
\(705\) 1.44580 0.409670i 0.0544521 0.0154290i
\(706\) −6.37955 + 13.9693i −0.240098 + 0.525740i
\(707\) −6.35587 + 9.88992i −0.239037 + 0.371949i
\(708\) 0.196978 0.0283212i 0.00740289 0.00106437i
\(709\) −5.17991 + 3.32892i −0.194535 + 0.125020i −0.634283 0.773101i \(-0.718704\pi\)
0.439747 + 0.898122i \(0.355068\pi\)
\(710\) 7.97937 1.07011i 0.299461 0.0401604i
\(711\) 6.07538 1.78389i 0.227845 0.0669012i
\(712\) 7.13961i 0.267568i
\(713\) 25.1495 + 19.7703i 0.941857 + 0.740405i
\(714\) −0.0905377 −0.00338829
\(715\) −3.44518 + 11.3343i −0.128842 + 0.423880i
\(716\) 15.6061 + 18.0105i 0.583229 + 0.673082i
\(717\) 0.581038 + 0.904113i 0.0216993 + 0.0337647i
\(718\) 2.42695 0.348942i 0.0905729 0.0130224i
\(719\) −18.6063 11.9575i −0.693897 0.445940i 0.145572 0.989348i \(-0.453498\pi\)
−0.839469 + 0.543407i \(0.817134\pi\)
\(720\) −5.66131 + 3.56287i −0.210984 + 0.132780i
\(721\) 11.1648 12.8849i 0.415799 0.479857i
\(722\) 17.9589 + 2.58210i 0.668361 + 0.0960958i
\(723\) 1.55967 0.712278i 0.0580048 0.0264899i
\(724\) 1.67320 + 0.491296i 0.0621840 + 0.0182589i
\(725\) −0.00344353 0.0276668i −0.000127890 0.00102752i
\(726\) 0.147288 + 0.322517i 0.00546638 + 0.0119697i
\(727\) −14.0078 2.01402i −0.519520 0.0746957i −0.122433 0.992477i \(-0.539070\pi\)
−0.397087 + 0.917781i \(0.629979\pi\)
\(728\) 1.18958 + 1.03078i 0.0440888 + 0.0382032i
\(729\) 11.0253 24.1421i 0.408345 0.894150i
\(730\) −12.8628 28.8876i −0.476073 1.06918i
\(731\) −0.846331 5.88636i −0.0313027 0.217715i
\(732\) −0.482967 0.751512i −0.0178510 0.0277767i
\(733\) −7.77249 + 6.73490i −0.287084 + 0.248759i −0.786482 0.617613i \(-0.788100\pi\)
0.499399 + 0.866372i \(0.333554\pi\)
\(734\) −21.8180 + 6.40634i −0.805316 + 0.236462i
\(735\) −0.644666 + 0.982502i −0.0237789 + 0.0362401i
\(736\) 0.454995 4.77420i 0.0167713 0.175979i
\(737\) 29.8083i 1.09800i
\(738\) −4.16288 14.1775i −0.153238 0.521880i
\(739\) 29.5389 + 34.0897i 1.08660 + 1.25401i 0.965230 + 0.261402i \(0.0841849\pi\)
0.121375 + 0.992607i \(0.461270\pi\)
\(740\) 0.0228999 2.41397i 0.000841815 0.0887394i
\(741\) −0.0167289 0.116352i −0.000614553 0.00427431i
\(742\) 0.284205 0.442232i 0.0104335 0.0162348i
\(743\) 35.1049 + 16.0319i 1.28788 + 0.588153i 0.937346 0.348399i \(-0.113274\pi\)
0.350529 + 0.936552i \(0.386002\pi\)
\(744\) −0.403438 + 0.465592i −0.0147908 + 0.0170694i
\(745\) 21.7868 24.6666i 0.798206 0.903714i
\(746\) −14.4826 31.7125i −0.530245 1.16108i
\(747\) −8.67084 + 29.5302i −0.317249 + 1.08045i
\(748\) 0.929551 3.16576i 0.0339878 0.115752i
\(749\) 8.50735 + 18.6285i 0.310852 + 0.680671i
\(750\) 0.982092 + 0.318991i 0.0358609 + 0.0116479i
\(751\) −17.2821 + 19.9446i −0.630632 + 0.727788i −0.977689 0.210056i \(-0.932635\pi\)
0.347057 + 0.937844i \(0.387181\pi\)
\(752\) 6.61886 + 3.02273i 0.241365 + 0.110228i
\(753\) 0.319687 0.497443i 0.0116501 0.0181278i
\(754\) −0.00109138 0.00759072i −3.97458e−5 0.000276438i
\(755\) −9.35281 0.0887243i −0.340384 0.00322901i
\(756\) 0.414741 + 0.478636i 0.0150840 + 0.0174078i
\(757\) 8.31937 + 28.3332i 0.302373 + 1.02979i 0.960823 + 0.277162i \(0.0893940\pi\)
−0.658451 + 0.752624i \(0.728788\pi\)
\(758\) 31.4216i 1.14128i
\(759\) −0.782126 1.51643i −0.0283894 0.0550429i
\(760\) 1.13522 1.73013i 0.0411789 0.0627585i
\(761\) −35.4871 + 10.4200i −1.28641 + 0.377723i −0.852260 0.523119i \(-0.824768\pi\)
−0.434147 + 0.900842i \(0.642950\pi\)
\(762\) −0.212781 + 0.184376i −0.00770824 + 0.00667923i
\(763\) 8.46390 + 13.1701i 0.306414 + 0.476789i
\(764\) −2.15032 14.9558i −0.0777960 0.541083i
\(765\) 5.23394 2.33051i 0.189233 0.0842598i
\(766\) 13.8774 30.3873i 0.501411 1.09794i
\(767\) 2.23955 + 1.94058i 0.0808655 + 0.0700703i
\(768\) 0.0914184 + 0.0131440i 0.00329878 + 0.000474292i
\(769\) −4.58637 10.0427i −0.165389 0.362151i 0.808733 0.588176i \(-0.200154\pi\)
−0.974121 + 0.226026i \(0.927427\pi\)
\(770\) 6.38488 + 7.51135i 0.230095 + 0.270690i
\(771\) 1.05609 + 0.310097i 0.0380343 + 0.0111679i
\(772\) 21.6082